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Coolmath Algebra
Inverse Functions Lesson 5 - How to Find the Inverse of a Function (page 2 of 3)
---- This algebra lesson explains how to find the inverse of a function

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Remember, you've got two ways you can double-check this answer to see if it's right:

  Graph f( x ) and f^( -1 )( x ) on the same graph and
    see if they're mirror images over the line y = x.
(Easy -- since these are both lines.)

Do it!

  Find either ( f o f^-1  )( x )  or ( f^-1  o f )( x )
  (or both for practice!)

*Note:  This is just like ( f o g )( x ), but with different notation.

OK, here's the list of steps:

How to find the inverse of a function:

          STEP 1:  Stick a "y" in for the "f(x)."

          STEP 2:  Switch the x and y.

          STEP 3:  Solve for y.

  STEP 4:  Stick    f^( -1 )( x ) in for the "y."

THEN, CHECK IT!

Continued on the next page

 The printing and distribution and/or downloading of these lessons is strictly prohibited.

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